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Some applications of new spline spaces in computer aided geometric design. (English) Zbl 1067.65020

Summary: Aim of this paper is to describe how the so-called variable degree polynomial spaces can be used for the construction of \(C^3\) spatial curves, approximating or interpolating a given set of data. Their main advantages rely in the easy control on their shape, provided by the variable degrees, and in the low computational cost, comparable with that of standard quintic splines.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65D05 Numerical interpolation
65D07 Numerical computation using splines
65D10 Numerical smoothing, curve fitting